What’s the inverse of F(x)=x^3 +7 ?
2 answers:
Answer:
y = (x - 7)^(1/3)
Step-by-step explanation:
Notice that f(x) is a monotonically increasing function (so it has an inverse along the domain
.
To find the inverse, we interchange the variables and solve for y.
So interchanging the variables gives us:
x = y^3 + 7.
We then solve for y, giving us:
x - 7 = y^3
y = (x - 7)^(1/3).
f−1(x)=3√7+x
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